
Afterwards, by identifying the integral in (REF ) with [1]}, \(\tilde{F} \left( x \right)\)  can be further rewritten as
\(\tilde{F} \left( x \right)&=\frac{1}{{2\pi {\rm i}}}\int \nolimits _{a - {\rm i}\infty }^{a + {\rm i}\infty } {\frac{{{e^{sx}}}}{s}} \\&\times \int \nolimits _{{\bf {U}} \in {\cal U}\left( {{N_r}} \right)} {{}_1{F_0}\left( {1; - s{{\bf {R}}_r}{{\bf {U}}}{\bf {V}}{\bf U}^{\rm {H}}} \right)(d{\bf {U}})} ds\\&= \frac{1}{{2\pi {\rm i}}}\int \nolimits _{a - {\rm i}\infty }^{a + {\rm i}\infty } {\frac{{{e^{sx}}}}{s}{}_1{F_0}^{\left( {{N_r}} \right)}\left( {1; - s{{\bf {R}}_r},{\bf {V}}} \right)ds},\) 
